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Finding the Third Proportional to 24,807.50 and 58,549

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Solution

The third proportional to 24,807.50 and 58,549 is: 138,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.50 : 58,549 = 58,549 : x
  2. Step 2: Convert to fraction form
    24,807.50/58,549 = 58,549/x
  3. Step 3: Cross multiply
    24,807.50x = 58,549 × 58,549
  4. Step 4: Simplify right side
    24,807.50x = 3,427,985,401
  5. Step 5: Solve for x
    x = 3,427,985,401/24,807.50
  6. Step 6: Final answer
    x = 138,183.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.